1452864 has 112 divisors (see below), whose sum is σ = 4681728. Its totient is φ = 388608.

The previous prime is 1452863. The next prime is 1452907. The reversal of 1452864 is 4682541.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1452864² = 4221627604992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1452863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30889 + ... + 30935.

2^1452864 is an apocalyptic number.

1452864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1452864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340864).

1452864 is an abundant number, since it is smaller than the sum of its proper divisors (3228864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1452864 is a wasteful number, since it uses less digits than its factorization.

1452864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 82 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 1452864 is about 1205.3480825056. The cubic root of 1452864 is about 113.2595906287.

The spelling of 1452864 in words is "one million, four hundred fifty-two thousand, eight hundred sixty-four".